Asked in FBISE Physics 2022 — Paper 2 2022Moderate

Mass equivalent of 931 MeV energy is:

Correct answer: A. 1.66 x 10^-27kg

  • A. 1.66 x 10^-27kg
  • B. 602 x 10^-27 Kg
  • C. 6.02 x 10^-23Kg
  • D. 2.67 x 10^-23kg

Explanation

The mass equivalent of 931 MeV of energy can be calculated using Einstein's mass-energy equivalence formula E = mc2 where ( E ) is energy, ( m ) is mass, and ( c ) is the speed of light in a vacuum.Given that; 1 electronvolt (eV) is equal to ( 1.6×10-19 ) joules (J), and 1 megaelectronvolt (MeV) is ( 106 ) eV we can convert 931 MeV to joules and then find the mass equivalent:931MeV = 931×106×1.6×10-19 =1489.6×10-13JNow, using the mass-energy equivalence formula: E = mc2 m = E/c2 = 1489.6×10-12J/(3×108m/s)2 = 1.662×10-27kgTherefore, the mass equivalent of 931 MeV of energy is 1.662×10-27kg.

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